Groups and Geometry - Brossura

Lyndon, Roger C.

Brossura

ISBN 10: 0521316944 ISBN 13: 9780521316941

Casa editrice: Cambridge University Press, 1985

Riassunto

This book, which was originally published in 1985 and has been translated and revised by the author from notes of a course, is an introduction to certain central ideas in group theory and geometry. Professor Lyndon emphasises and exploits the well-known connections between the two subjects and, whilst keeping the presentation at a level that assumes only a basic background in mathematics, leads the reader to the frontiers of current research at the time of publication. The treatment is concrete and combinatorial with a minimal use of analytic geometry. In the interest of the reader's intuition, most of the geometry considered is two-dimensional and there is an emphasis on examples, both in the text and in the problems at the end of each chapter.

Su questo libro

Descrizione del libro:

This 1985 book is an introduction to certain central ideas in group theory and geometry. Professor Lyndon emphasises and exploits the well-known connections between the two subjects and leads the reader to the frontiers of current research at the time of publication.

Contenuti:

1. Symmetries and groups; 2. Isometries of the Euclidian Plane; 3. Subgroups of the groups of isometries of the plane; 4. Discontinuous groups of isometries of the Euclidean plane: plane crystallographic groups; 5. Regular tesselations in higher dimensions; 6. Incidence geometry of the affine plane; 7. Projective geometry; 8. Inversive geometry; 9. Hyperbolic geometry; 10. Fuscian groups; References; Index.

Su questa edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 1985
• ISBN 10: 0521316944
• ISBN 13: 9780521316941
• Rilegatura: Copertina flessibile
• Numero di pagine: 230